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Published online by Cambridge University Press: 22 January 2016
A systematic treatment of analytical dynamics was given by E. Cartan in [1], where the 1-form plays the fundamental role. We give here a further investigation. One of our main purposes is to clarify relations between dynamical systems and Finsler spaces and the other is to formulate an intrinsic bundle structure of the systems. This paper is closely related to my previous papers [4] [5].